EVENT DETAILS AND ABSTRACT

Title: p-adic L-function of supersingular Hilbert modular form
Speaker: Bei Zhang
Speaker Info: Northwestern
Brief Description:
Special Note:
Abstract:

Pollack constructed p-adic L-function of modular form f at supersingular primes. Especially, when the Fourier coefficient of f at p is zero, plus and minus p-adic L-functions can be obtained as elements inside Iwasawa algebra. They can serve as one side of Iwasawa main conjecture for an elliptic curve over Q when a_p=0 by Kobayashi's work about +/- Selmer group of this elliptic curve at p. As the generalization of Pollack's work, I will discuss the construction of p-adic L-function for supersingular Hilbert modular form using Rankin-Selberg method. And will define the +/- p-adic L-functions in this case.